SOLUTION: b is a point between ac if ab=6x and bc=x^2 and ac=27 find x

SOLUTION: b is a point between ac if ab=6x and bc=x^2 and ac=27 find x

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Question 286471: b is a point between ac if ab=6x and bc=x^2 and ac=27 find x
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Since b is somewhere on ac, this means that by the segment addition postulate (ie the parts of a line segment add up to the total line segment)

So which then becomes . Factor to get . Now use the zero product property and solve to get or

Since we're dealing with lengths, the only sensible answer is
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